Results 1 to 2 of 2

Thread: Circular cylinder area.

  1. April 22nd 2009, 12:44 PM #1
    zaurm
    zaurm is offline
    Newbie
    Joined
    Apr 2009
    Posts
    13

    Circular cylinder area.

    Follow Math Help Forum on Facebook and Google+
  2. April 22nd 2009, 02:46 PM #2
    skeeter
    skeeter is offline
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,625
    Thanks
    425
    assuming "largest" is in terms of volume ...

    sketch the circle x^2 + y^2 = 2^2

    inscribe a rectangle in the circle ... rotation of the figure about the y-axis yields a cylinder inscribed in a sphere of radius 2.

    volume of a cylinder, V = \pi r^2 h

    V = \pi x^2 \cdot 2y = \pi x^2 \cdot 2\sqrt{4 - x^2}

    find \frac{dV}{dx} and find the values of x and y that maximize the volume ... then determine the surface area,

    A = 2\pi r^2 + 2\pi rh = 2\pi x^2 + 2\pi r (2y)
    Follow Math Help Forum on Facebook and Google+
« volume | Change in x and differentials »

Similar Math Help Forum Discussions

  1. Maximizing volume of a cylinder inscribed in a right circular cone (no numbers given)
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 7th 2011, 01:47 PM
  2. right circular cylinder is inscribed in a right circular cone
    Posted in the Geometry Forum
    Replies: 8
    Last Post: September 7th 2010, 05:37 AM
  3. more Right Circular Cylinder problems...
    Posted in the Geometry Forum
    Replies: 1
    Last Post: January 12th 2010, 03:33 AM
  4. Right Circular Cylinder problem...
    Posted in the Geometry Forum
    Replies: 7
    Last Post: January 10th 2010, 07:18 AM
  5. Help With Circular Cylinder Related Rates Problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: May 3rd 2009, 12:31 PM

Search Tags


/mathhelpforum @mathhelpforum